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  • Question
  • A train travelling at 48 kmph completely crosses another train having half its length and travelling in opposite direction at 42 kmph, in 12 seconds. It also passes a railway platform in 45 seconds. The length of the platform is


  • Options
  • A. 400 m
  • B. 450 m
  • C. 560 m
  • D. 600 m

  • Correct Answer
  • 400 m 

    Explanation
    Let the length of the first train be x meters.

    Then, the length of the second train is x meters.
    2

    Relative speed = (48 + 42) kmph = 90 x 5 m/sec = 25 m/sec.
    18

    [x + (x/2)] = 12 or 3x = 300     or     x = 200.
    25 2

    ∴ Length of first train = 200 m.

    Let the length of platform be y meters.

    Speed of the first train = 48 x 5 m/sec = 40 m/sec.
    18 3

    ∴ (200 + y) x 3 = 45
    40

    ⟹ 600 + 3y = 1800

    y = 400 m.


  • Problems on Trains


    Search Results


    • 1. A train 108 m long moving at a speed of 50 km/hr crosses a train 112 m long coming from opposite direction in 6 seconds. The speed of the second train is:

    • Options
    • A. 48 km/hr
    • B. 54 km/hr
    • C. 66 km/hr
    • D. 82 km/hr
    • Discuss
    • 2. Jar A has 36 litres of mixture of milk and water in the respective ratio of 5 : 4. Jar B which had 20 litres of mixture of milk and water, was emptied into jar A, and as a result in jar A, the respective ratio of milk and water becomes 5: 3. What was the quantity of water in jar B?

    • Options
    • A. 5 lit
    • B. 3 lit
    • C. 8 lit
    • D. 2 lit
    • Discuss
    • 3. A mixture contains spirit and water in the ratio of 3 : 2. If it contains 3 litres more spirit than water, the quantity of spirit in the mixture is

    • Options
    • A. 12 litres
    • B. 10 litres
    • C. 9 litres
    • D. 8 litres
    • Discuss
    • 4. In what ratio must a mixture of 20% milk strength be mixed with that of 60% milk strength so as to get a new mixture of 25% milk strength?

    • Options
    • A. 7 : 1
    • B. 4 : 1
    • C. 5 : 2
    • D. 9 : 2
    • Discuss
    • 5. In what ratio sugar of Rs 38 per kg and Rs 30 per kg be mixed with each other so that on selling mixture at Rs 35.2 per kg there will be a profit of 10%?

    • Options
    • A. 1 : 3
    • B. 3 : 7
    • C. 13 : 7
    • D. 9 : 4
    • Discuss
    • 6. Two goods train each 500 m long, are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one.

    • Options
    • A. 12 sec
    • B. 24 sec
    • C. 48 sec
    • D. 60 sec
    • Discuss
    • 7. Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is:

    • Options
    • A. 1 : 3
    • B. 3 : 2
    • C. 3 : 4
    • D. None of these
    • Discuss
    • 8. A train overtakes two persons who are walking in the same direction in which the train is going, at the rate of 2 kmph and 4 kmph and passes them completely in 9 and 10 seconds respectively. The length of the train is:

    • Options
    • A. 45 m
    • B. 50 m
    • C. 54 m
    • D. 72 m
    • Discuss
    • 9. Two trains, each 100 m long, moving in opposite directions, cross each other in 8 seconds. If one is moving twice as fast the other, then the speed of the faster train is:

    • Options
    • A. 30 km/hr
    • B. 45 km/hr
    • C. 60 km/hr
    • D. 75 km/hr
    • Discuss
    • 10. A train 240 m long passes a pole in 24 seconds. How long will it take to pass a platform 650 m long?

    • Options
    • A. 65 sec
    • B. 89 sec
    • C. 100 sec
    • D. 150 sec
    • Discuss


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